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Chapter 8: Q. 58 (page 771)

In the following exercises, use the Product Property to simplify radical expressions96

Short Answer

Expert verified

The expression in simplified form is46

Step by step solution

01

Given information

Given the expression,96

02

Using the product property to simplify

On using the property, we get

96=16×696=16×696=46

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Most popular questions from this chapter

Explain whyx4=x2{"x":[[79,82,83,87,91,93,93,95,97,99,100,103,103,104,104,104,105,106,109,116,127,145,161,175,183,186,187],[106,107,108,109,110,111,113,115,118,121,122,126,128,128,128,127,124,119,115,114,112,112,111,111,110,110,110],[141,138,135,134,132,130,129,128,128,128,129,130,132,134,137,142,145,148,149,150,151,151],[119,120,123,129,133,136,137],[153,154,154,156,156,157,157,157,157,157,157,156,156,156,156,156,156,156,156,156,156,156,155,154,152,150,149,149,148,149,149,154,162,170,178,179,180,180,179],[185,186,186,187,191,194,197,199,200,201],[183,184,185,189,195,202,206,208],[229,230,232,236,239,244,249,252,254,256,256,256,255,252,250,249,248,247,245,242,240,238],[264,264,262,261,261,261,260,260,260,260,260,261,262,264,268,272,281,286,289,289,289],[245,246,250,259,269,279,288,289,290,291],[277,281,281,282,283,283,283,283,283,283,283,282,285,289,296,303,308,309,309]],"y":[[105,107,109,112,115,116,117,112,103,93,81,69,55,48,45,44,44,43,42,41,40,38,35,32,31,29,29],[71,71,71,70,70,69,68,68,68,68,68,70,74,78,83,88,92,95,97,98,98,99,99,98,96,94,92],[65,65,68,71,75,79,83,87,89,92,96,98,101,104,105,105,105,103,101,99,98,97],[83,83,83,83,83,83,83],[52,53,54,57,61,66,70,75,76,77,76,74,71,66,62,59,57,56,55,54,53,52,52,54,58,60,62,63,64,64,65,65,65,63,62,60,60,61,61],[87,87,86,85,85,84,84,84,84,84],[98,97,97,96,95,94,92,92],[66,66,65,65,65,65,67,70,73,77,82,87,91,95,97,98,99,99,99,99,97,97],[66,65,65,67,70,73,78,82,86,90,93,95,97,98,99,99,98,95,93,92,91],[85,85,85,84,83,81,81,81,81,81],[49,49,50,50,52,56,58,60,62,63,64,64,65,65,65,64,63,62,63]],"t":[[0,26,43,60,76,94,126,159,177,193,209,227,243,260,276,292,309,327,343,359,376,392,409,426,442,459,475],[942,947,959,975,1000,1043,1059,1075,1092,1108,1125,1142,1159,1175,1192,1209,1225,1242,1259,1275,1292,1308,1345,1363,1375,1392,1399],[1736,1791,1807,1824,1842,1858,1875,1891,1908,1924,1941,1958,1974,1991,2008,2025,2041,2058,2074,2091,2108,2123],[2491,2520,2540,2557,2574,2590,2607],[3144,3217,3225,3239,3256,3272,3289,3305,3323,3388,3409,3424,3439,3455,3472,3489,3506,3522,3540,3556,3573,3605,3656,3672,3689,3705,3722,3739,3755,3899,3904,3922,3939,3955,3972,3988,4005,4107,4110],[4450,4455,4471,4488,4504,4521,4538,4554,4571,4607],[4831,4854,4870,4888,4904,4921,4937,4954],[5378,5403,5420,5437,5453,5470,5487,5503,5520,5537,5554,5570,5587,5604,5620,5636,5653,5671,5687,5704,5720,5724],[6030,6086,6102,6119,6136,6153,6170,6186,6202,6219,6237,6252,6270,6286,6303,6319,6336,6352,6370,6386,6391],[6718,6752,6769,6786,6802,6819,6836,6852,6868,6885],[7431,7441,7447,7453,7468,7485,7501,7518,7534,7551,7584,7601,7651,7668,7684,7701,7717,7734,7850]],"version":"2.0.0"}. Then explain whyx16=x8{"x":[[108,111,115,118,123,128,129,131,133,136,139,144,146,147,147,147,148,150,151,153,157,164,176,196,217,241,254,258,259],[177,179,181,185,188,192,195,197,199,200,200,199,193,185,178,172,170,169,168],[241,239,234,229,222,216,211,208,205,204,204,204,205,209,217,226,236,245,251,254],[189,190,194,203,211,216,218,218],[249,250,250,250,250,249,249,248,248],[270,269,268,267,266,265,265,265,265,265,265,267,268,270,273,276,278,280,280,280,280,280,280,278,277,274,271,270,270,269,269,269],[295,298,303,312,321,327,330,331],[303,304,307,311,314,318,320,322,323],[347,349,353,359,363,365,367,368,368,365,361,360,359,358,359],[387,386,383,378,373,367,364,361,360,360,360,362,369,374,380,383,384,384],[347,348,349,351,361,372,382,388,390],[403,404,407,410,411,413,414,414,415,415,413,410,408,406,406,406,405,405,405,407,408,409,411,412,412,412,412,412,409,407,405,404,403,403,402,401,401,401,401,401,401,403,405]],"y":[[170,170,173,175,179,182,184,184,180,173,162,145,129,112,96,83,74,70,69,68,68,68,68,68,68,66,64,63,63],[118,118,116,116,116,116,116,119,124,130,137,144,151,156,159,161,161,161,161],[110,110,112,115,120,126,132,138,143,148,152,155,157,158,159,159,156,152,149,148],[137,137,137,137,137,137,137,138],[75,77,80,86,90,95,99,101,103],[70,70,70,72,75,80,85,89,93,97,98,101,102,102,102,101,99,97,95,94,91,90,89,88,87,87,87,87,88,88,89,90],[121,121,121,121,120,119,118,118],[143,143,143,143,142,141,141,141,141],[111,111,110,110,111,115,119,125,134,140,143,145,145,140,136],[104,104,105,109,114,119,125,129,133,136,138,140,141,141,140,138,136,135],[127,126,126,126,125,124,123,122,122],[85,85,84,84,84,84,85,88,92,95,99,102,105,107,109,110,111,112,113,113,113,113,112,110,108,105,103,100,99,97,96,95,95,94,94,92,91,90,88,86,85,84,84]],"t":[[0,50,67,83,100,117,133,150,199,216,233,249,267,284,299,316,334,350,366,383,400,417,434,449,466,484,500,516,534],[1057,1065,1082,1099,1116,1132,1148,1165,1183,1200,1216,1232,1249,1265,1282,1299,1316,1333,1371],[1674,1682,1698,1715,1731,1748,1765,1782,1799,1815,1831,1849,1865,1881,1898,1915,1932,1948,1965,1975],[2386,2414,2431,2448,2464,2481,2497,2549],[2961,3014,3030,3047,3063,3080,3097,3113,3129],[3496,3523,3533,3546,3563,3579,3596,3613,3629,3647,3663,3680,3696,3713,3729,3746,3762,3779,3796,3813,3830,3846,3862,3879,3896,3913,3930,3945,3962,3979,3995,4012],[4562,4567,4578,4596,4612,4628,4645,4661],[4950,5023,5044,5062,5078,5096,5111,5127,5135],[5454,5461,5477,5494,5511,5527,5544,5561,5577,5594,5610,5627,5644,5694,5707],[5900,5910,5926,5943,5960,5977,5994,6010,6027,6043,6060,6076,6094,6109,6127,6143,6160,6163],[6436,6441,6445,6460,6477,6493,6510,6526,6543],[6953,6960,6975,6992,7009,7025,7042,7059,7076,7093,7108,7125,7142,7159,7175,7193,7209,7225,7247,7259,7276,7292,7308,7325,7342,7358,7375,7392,7408,7425,7441,7459,7515,7524,7541,7558,7575,7593,7608,7625,7643,7658,7669]],"version":"2.0.0"}.

In the following exercises, simplify using absolute value signs as needed.

y11r53s104

In the following exercises, use the Product Property to simplify radical expressions a. 6253, b.1286

In the following exercises, use the Product Property to simplify radical expressions675

In the following exercise, write as a radical expression.

ⓐx12ⓑy13ⓒz14
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